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Maths
A Level

Let f(x) and g(x) be two odd functions defined for all real values of x. Given that s(x)=f(x)+g(x), prove that s(x) is also an odd function.

We recall that a function f(x) is said to be an odd function when f(-x)=-f(x).

We are told that f(x) and g(x) are odd functions, so we know from the abov...

KH
Answered by Keir H. Maths tutor
13670 Views

differentiate 2^x

y=2^x
lny=xln2
y=e^(xln2)

MP
Answered by Mit P. Maths tutor
6089 Views

A pot of water is heated to 100C and then placed in a room at a temperature of 18C. After 5 minutes, the pan temperature falls by 20C. Find the temperature after 10minutes.

(The rate at which the temperature of a body falls is proportional to the difference between the body temperature and the room temperature) - this would be given in the question.

This is ...

AC
Answered by Asher C. Maths tutor
5965 Views

Why does ln(x) differentiate to 1/x ?

At first glance, this may seem quite complicated. However, it is simple once you make use of exponents. 
Let y=ln(x)
This can be written as: e= e

CE
Answered by Charlie E. Maths tutor
14360 Views

Differentiate ln(x)/x


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